Question

question 7 (mandatory) (1 point) a bucket contains 425 ml of water. the capacity of water in the bucket increases 4.8% each hour. which equation models the situation? a) c(t)=425(0.952)^t b) c(t)=425(1.048)^t c) c(t)=425(0.048)^t d) c(t)=425(4.8)^t

Explanation:

Step1: Identify the decay - growth formula

The general formula for exponential growth is $c(t)=c_0(1 + r)^t$, where $c_0$ is the initial amount, $r$ is the growth rate as a decimal, and $t$ is the time. Here, the initial amount of water $c_0 = 425$ mL and the growth rate $r=0.048$ (since 4.8%=0.048).

Step2: Write the function

Substituting the values into the formula, we get $c(t)=425(1 + 0.048)^t=425(1.048)^t$.

Answer:

c) $c(t)=425(1.048)^t$